Mr. Cosby was sentenced to serve three to 10 years for drugging and assaulting Andrea Constand. He has said he will appeal the conviction.
She said Mr. Cosby, 81, had a personality disorder that drove him to seek sex with nonconsenting partners, a depiction that the defense challenged.
Mr. Cosby’s lawyer said the judge should have disclosed a prior conflict with a witness, but the judge said the assertion was “without merit.”
Camille Cosby told the Pennsylvania Judicial Conduct Board in a letter that she views the judge who presided over her husband’s trial to be unethical.
The lawyers and Camille Cosby argued that the judge should have previously disclosed a feud he had with a key witness in the case.
Bill Cosby, who faces as many as 10 years in prison for each of three sexual assault convictions, will be sentenced later this month.
The determination, if upheld by the court system, would mean that he would be classified as a registered sex offender and it could affect his sentencing.
The jury, which remains anonymous, released a joint statement intended to clarify how they came to the decision to convict the entertainer.
Lise-Lotte Lublin was one of several women who spoke in court about their experiences with Mr. Cosby, helping prosecutors convict him of sexual assault.